Write the Binomial Expansion of the Expression $$\left( 2 + \frac { y } { 3 } \right) ^ { 5 }$$

question 84

Multiple Choice

Write the binomial expansion of the expression.
- $$\left( 2 + \frac { y } { 3 } \right) ^ { 5 }$$

• A) \(32 - \frac { 80 } { 3 } y - \frac { 80 } { 9 } y ^ { 2 } - \frac { 40 } { 27 } y ^ { 3 } - \frac { 10 } { 81 } y ^ { 4 } - \frac { 1 } { 243 } y ^ { 5 }\)
• B) \(- 32 + \frac { 80 } { 3 } y - \frac { 80 } { 9 } y ^ { 2 } + \frac { 40 } { 27 } y ^ { 3 } - \frac { 10 } { 81 } y ^ { 4 } + \frac { 1 } { 243 } y ^ { 5 }\)
• C) \(32 - \frac { 10000 } { 3 } y + \frac { 8000 } { 9 } y ^ { 2 } - \frac { 400 } { 27 } y ^ { 3 } + \frac { 10 } { 81 } y ^ { 4 } - \frac { 1 } { 243 } y ^ { 5 }\)
• D) \(32 + \frac { 80 } { 3 } y + \frac { 80 } { 9 } y ^ { 2 } + \frac { 40 } { 27 } y ^ { 3 } + \frac { 10 } { 81 } y ^ { 4 } + \frac { 1 } { 243 } y ^ { 5 }\)

---

Definitions:

Prisoner's Dilemma

A scenario in game theory showing why two individuals might not cooperate, even if it is in their best interest to do so.

Reciprocity

A social principle stating that if someone does something for you, you should do something in return.

Competing

Competing involves being in a rivalry or contest with others for an objective or prize.

Cost-Of-Living Raises

Salary increases given to employees to offset the effects of inflation on their purchasing power.